Field theory of anyons in the lowest Landau level

Details Field theory of anyons in the lowest Landau level Field theory of anyons in the lowest Landau level

1994-12-27

arxiv.org/abs/hep-th/9412221v2

Nucl.Phys. B470 (1996) 291-316

Physics

High Energy Physics

High Energy Physics - Theory

27 pages (incl. 2 figs.) in standard Latex. Substantially revised version with a section on the connection to Luttinger liquid

Scientific paper

10.1016/0550-3213(96)00178-2

We construct a field theory for anyons in the lowest Landau level starting from the $N$-particle description, and discuss the connection to the full field theory of anyons defined using a statistical gauge potential. The theory is transformed to free form, with the fields defined on the circle and satisfying modified commutation relations. The Fock space of the anyons is discussed, and the theory is related to that of edge excitations of an anyon droplet in a harmonic oscillator well.

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